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Simplifying 7(x + 3) + -7(9x + -8) = 14 Reorder the terms: 7(3 + x) + -7(9x + -8) = 14 (3 * 7 + x * 7) + -7(9x + -8) = 14 (21 + 7x) + -7(9x + -8) = 14 Reorder the terms: 21 + 7x + -7(-8 + 9x) = 14 21 + 7x + (-8 * -7 + 9x * -7) = 14 21 + 7x + (56 + -63x) = 14 Reorder the terms: 21 + 56 + 7x + -63x = 14 Combine like terms: 21 + 56 = 77 77 + 7x + -63x = 14 Combine like terms: 7x + -63x = -56x 77 + -56x = 14 Solving 77 + -56x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + -56x = 14 + -77 Combine like terms: 77 + -77 = 0 0 + -56x = 14 + -77 -56x = 14 + -77 Combine like terms: 14 + -77 = -63 -56x = -63 Divide each side by '-56'. x = 1.125 Simplifying x = 1.125
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